Aspects of frustrated magnetism by Conlon, P

“…We study the precessional dynamics of the model and provide a comprehensive description of the dynamics by constructing an analytically tractable stochastic model by extending the self-consistent Gaussian approximation to include dynamics. …”

The shape and temporal dynamics of phylogenetic trees arising from geographic speciation. by Pigot, A, Phillimore, AB, Owens, I, Orme, C

“…Phylogenetic trees often depart from the expectations of stochastic models, exhibiting imbalance in diversification among lineages and slowdowns in the rate of lineage accumulation through time. …”

Assessing the interruption of the transmission of human helminths with mass drug administration alone: optimizing the design of cluster randomized trials. by Anderson, R, Farrell, S, Turner, H, Walson, J, Donnelly, C, Truscott, J

“… <h4>Background</h4> <p>A method is outlined for the use of an individual-based stochastic model of parasite transmission dynamics to assess different designs for a cluster randomized trial in which mass drug administration (MDA) is employed in attempts to eliminate the transmission of soil-transmitted helminths (STH) in defined geographic locations. …”

Modelling microstructural evolution in binary alloys by Rautiainen, T

“…Several examples of cases in which these differences between deterministic and stochastic models affect the phase transformation are given, and the underlying differences are analyzed.…”

Quantum entanglement growth under random unitary dynamics by Nahum, A, Ruhman, J, Vijay, S, Haah, J

“…We derive KPZ universal behavior in three complementary ways, by mapping random entanglement growth to (i) a stochastic model of a growing surface, (ii) a “minimal cut” picture, reminiscent of the Ryu-Takayanagi formula in holography, and (iii) a hydrodynamic problem involving the dynamical spreading of operators. …”

Integrating epidemiology into population viability analysis: Managing the risk posed by rabies and canine distemper to the Ethiopian wolf by Haydon, D, Laurenson, M, Sillero-Zubiri, C

“…Incorporating epidemiological dynamics explicitly into a PVA framework is technically challenging, but here we make a first attempt to integrate formal stochastic models of the combined dynamics of rabies and canine distemper into a PVA of the Ethiopian wolf (Canis simensis), a critically endangered canid. …”

Efficient simulation techniques for biochemical reaction networks by Lester, C

“…</p> <p>In order to further develop and explore biologically relevant stochastic models, new and efficient computational methods are required. …”

Evolution of the human immunodeficiency virus envelope gene is dominated by purifying selection. by Edwards, C, Holmes, E, Pybus, O, Wilson, D, Viscidi, R, Abrams, E, Phillips, R, Drummond, A

“…However, the role of natural selection, relative to random genetic drift, in governing this process is unclear. We tested a stochastic model of genetic drift using partial envelope sequences sampled longitudinally in 28 infected children. …”

Modelling the impact of a Schistosoma mansoni vaccine and mass drug administration to achieve morbidity control and transmission elimination by Kura, K, Truscott, JE, Toor, J, Anderson, RM

“…In this paper, we develop an individual-based stochastic model to evaluate the effect of a vaccine with similar properties in humans to those recorded in baboons in achieving the World Health Organization (WHO) goals of morbidity control and elimination as a public health problem in populations living in a variety of transmission settings. …”

Estimating parameter distributions and developing epidemiological methods and tools to support gastrointestinal outbreak investigation by Awofisayo-Okuyelu, A

“…Further research, developing a stochastic model of the incubation period of <em>Salmonella</em> Typhi, is recommended. …”

Mathematical modelling of oncolytic virotherapy by Shabala, A

“…</p> <p>The qualitative behaviour of this stochastic model is then analysed for a range of key experimentally-controllable parameters. …”

Importance sampling on the coalescent with recombination by Jenkins, P, Paul Jenkins

“…<p>Performing inference on contemporary samples of homologous DNA sequence data is an important task. By assuming a stochastic model for ancestry, one can make full use of observed data by sampling from the distribution of genealogies conditional upon the sample configuration. …”

Formal methods for the analysis of wireless network protocols by Fruth, M

“…We build a generic stochastic model for this protocol and analyse Quality of Service and energy properties of it. …”

Valpha24-JalphaQ-independent, CD1d-restricted recognition of alpha-galactosylceramide by human CD4(+) and CD8alphabeta(+) T lymphocytes. by Gadola, S, Dulphy, N, Salio, M, Cerundolo, V

“…The developmental pathway of Valpha24(+)Vbeta11(+)NKT(inv) is still unclear, but recent studies in mice were consistent with a TCR instructive, rather than a stochastic, model of differentiation. Using CD1d-alphaGC-tetramers, we demonstrate that in humans, TCR variable domains other than Valpha24 and Vbeta11 can mediate specific recognition of CD1d-alphaGC. …”

Scanning probe microscopy and electrochemical studies of deposition on electrode surfaces by Hyde, M, Michael Hyde

“…The particle distributions are analyzed and a stochastic model of nucleation developed. A model for the potentiostatic nucleation and three dimensional growth of deposits on an electrode surface under hydrodynamic conditions is examined. …”

Antimalarial mass drug administration in large populations and the evolution of drug resistance by Nguyen, TD, Tran, TN-A, Tran, TN-A, Parker, DM, White, NJ, Boni, MF

“…We use an individual-based stochastic model of&nbsp;<em>Plasmodium falciparum</em>&nbsp;transmission to evaluate this risk for MDA using dihydroartemisinin-piperaquine (DHA-PPQ), in populations where access to antimalarial treatments may not be uniformly high and where re-importation of drug-resistant parasites may be common. …”

Fluctuation statistics in the scrape-off layer of Alcator C-Mod by Kube, R, Theodorsen, A, Garcia, O E, Labombard, Brian, Terry, James L

“…Histograms of the ion saturation current time series are found to agree well with a prediction of a stochastic model for the particle density fluctuations in scrape-off layer plasmas. …”
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Multi-modality in gene regulatory networks with slow promoter kinetics by Del Vecchio, Domitilla

“…As illustrations, the theory is used to tease out the role of cooperative binding in stochastic models in comparison to deterministic models, and applications are given to various model systems, such as toggle switches in isolation or in communicating populations, a synthetic oscillator, and a trans-differentiation network.…”
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Cell Invasion Dynamics into a Three Dimensional Extracellular Matrix Fibre Network by Kim, Min-Cheol, Silberberg, Yaron R., Whisler, Jordan Ari, Kamm, Roger Dale, Asada, Harry

“…This filopodium-ECM interaction is modeled as a stochastic process based on binding kinetics between integrins along the filopodial shaft and the ligands on the surrounding ECM fibers. This filopodia stochastic model is integrated into migratory dynamics of a whole cell in order to predict the cell invasion into 3D ECM in response to chemotaxis, haptotaxis, and durotaxis cues. …”
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Design of a long-term memory genetic toggle switch inspired by chromatin modification circuits by Kwon, Ukjin, Huang, Hsin-Ho, Vecchio, Domitilla Del

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